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Finding the Fourth Proportional to 4,604.42, 6,900.14 and 3,450.98

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Solution

The fourth proportional to 4,604.42, 6,900.14 and 3,450.98 is: 5,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.42 : 6,900.14 = 3,450.98 : x
  2. Step 2: Convert to fraction form
    4,604.42/6,900.14 = 3,450.98/x
  3. Step 3: Cross multiply
    4,604.42x = 6,900.14 × 3,450.98
  4. Step 4: Simplify right side
    4,604.42x = 23,812,245.14
  5. Step 5: Solve for x
    x = 23,812,245.14/4,604.42
  6. Step 6: Final answer
    x = 5,171.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.